CUET UG Physics Booster Test 2-Diode Applications and Circuits
๐ Answers are locked once submitted โ results and explanations appear at the end.
QUESTION 1 OF 20
Incorrect statement about metallic contacts in a p-n junction diode
QUESTION 2 OF 20
Diode symbol statements
1. It is a two-terminal device.
2. The arrow points in the direction of conventional current under forward bias.
3. The arrow represents the physical movement of electrons from n-side to p-side.
4. The symbol simplifies the representation of the p-n junction in circuit diagrams.
QUESTION 3 OF 20
Correct statements about the variation of current with voltage
1. In forward bias, the current is measured in mA and depends on minority carrier injection.
2. In reverse bias, the drift current is measured in ฮผA and is driven by the electric field sweeping minority carriers.
3. The forward bias resistance is exceptionally high compared to the reverse bias resistance.
4. The reverse current is essentially independent of voltage up to the breakdown limit.
QUESTION 4 OF 20
Match List I (Circuit Condition) with List II (Expected Value/Measurement)
| List I | List II |
|---|---|
| 1. Forward bias applied voltage | i. Measured in microamperes (ฮผA) |
| 2. Forward bias current | ii. Measured in volts (e.g., 0 to 1 V) |
| 3. Reverse bias applied voltage | iii. Measured in milliamperes (mA) |
| 4. Reverse bias current | iv. Measured in tens of volts (e.g., 0 to โ10 V) |
QUESTION 5 OF 20
When the applied forward voltage crosses the threshold voltage:
QUESTION 6 OF 20
The typical cut-in voltage for a silicon diode is roughly:
QUESTION 7 OF 20
The reverse saturation current of a diode is:
QUESTION 8 OF 20
If the reverse current is not limited by an external circuit and exceeds the rated value at the breakdown voltage, the p-n junction will be:
QUESTION 9 OF 20
Dynamic resistance expressions
1. It is the inverse of the slope of the V-I characteristic curve.
2. It is constant across all voltages in a p-n junction.
3. It is lower in forward bias than in reverse bias.
4. It is defined as the ratio of a small change in voltage to a small change in current.
QUESTION 10 OF 20
The dynamic resistance calculated at a reverse bias voltage of V = โ10 V (where I = โ1 ฮผA) is:
QUESTION 11 OF 20
Incorrect statement about unidirectional flow
QUESTION 12 OF 20
Correct statements about AC transformation using diodes
1. The process is known as rectification.
2. It utilizes the unidirectional conducting property of a p-n junction.
3. The secondary of a transformer supplies the desired AC voltage.
4. The output of a basic rectifier circuit is a pure, ripple-free DC voltage without filters.
QUESTION 13 OF 20
Match List I (Circuit Event) with List II (Component/Voltage State) for a half-wave rectifier
| List I | List II |
|---|---|
| 1. Terminal A is positive | i. During negative half-cycle |
| 2. Terminal A is negative | ii. Diode conducts |
| 3. Output voltage appears | iii. Diode does not conduct |
| 4. Diode is reverse-biased | iv. During positive half-cycle |
QUESTION 14 OF 20
The rectified output of a half-wave rectifier contains voltage restricted to one direction, and it mathematically represents:
QUESTION 15 OF 20
In a full-wave rectifier, because the centre-tap provides the reference ground, the voltage rectified by each diode at any instant is:
QUESTION 16 OF 20
In a full-wave rectifier, during the positive half cycle, Diode D1 is ________ and during the negative half cycle, Diode D2 is ________.
QUESTION 17 OF 20
If no external load is connected to a full-wave rectifier equipped with a capacitor input filter:
QUESTION 18 OF 20
Inductor series statements
1. An inductor can be used in series with the load.
2. It serves as a filter.
3. It helps to filter out the AC ripple.
4. It increases the pulsating nature of the output voltage.
QUESTION 19 OF 20
Incorrect statement about time constants
QUESTION 20 OF 20
Ripple removal concepts
1. The rate of fall of voltage across the discharging capacitor dictates the ripple size.
2. A larger capacitance effectively minimizes ripple.
3. The output voltage is perfectly constant DC regardless of load resistance.
4. The charging and discharging cycles of the capacitor form the remaining ripple.
Test Complete!
Answer Review
1 Incorrect statement about metallic contacts in a p-n junction diode
Metallic contacts provide electrical connections. The depletion region is formed due to diffusion and recombination of charge carriers.
The depletion region forms naturally at the p-n junction because electrons and holes diffuse across the junction and recombine. Metallic contacts merely allow connection to external circuits.
- A: Correct.
- B: Correct.
- D: Correct.
Used
- Conceptual Elimination
Final Logic:
- Contacts do not create the depletion region.
"Contacts Connect, Junction Creates Depletion."
2 Diode symbol statements
1. It is a two-terminal device.
2. The arrow points in the direction of conventional current under forward bias.
3. The arrow represents the physical movement of electrons from n-side to p-side.
4. The symbol simplifies the representation of the p-n junction in circuit diagrams.
Diode is a two-terminal device. Symbol shows conventional current direction. It simplifies circuit representation.
Statements A, B, and D are correct. The arrow indicates conventional current flow, not electron flow.
- C: Arrow does not represent electron motion.
Used
- Symbol Interpretation
Final Logic:
- A, B, and D are correct.
"Arrow = Conventional Current, Not Electrons."
3 Correct statements about the variation of current with voltage
1. In forward bias, the current is measured in mA and depends on minority carrier injection.
2. In reverse bias, the drift current is measured in ฮผA and is driven by the electric field sweeping minority carriers.
3. The forward bias resistance is exceptionally high compared to the reverse bias resistance.
4. The reverse current is essentially independent of voltage up to the breakdown limit.
Forward current is usually measured in mA. Reverse current is usually measured in ฮผA. Reverse current remains nearly constant before breakdown.
Forward conduction involves carrier injection and large currents, whereas reverse current is due to minority carriers and remains almost constant up to breakdown.
- C: Forward resistance is much lower than reverse resistance.
Used
- V-I Characteristics Analysis
Final Logic:
- A, B, and D are correct.
"Forward: Low Resistance, Reverse: High Resistance."
4 Match List I (Circuit Condition) with List II (Expected Value/Measurement)
| List I | List II |
|---|---|
| 1. Forward bias applied voltage | i. Measured in microamperes (ฮผA) |
| 2. Forward bias current | ii. Measured in volts (e.g., 0 to 1 V) |
| 3. Reverse bias applied voltage | iii. Measured in milliamperes (mA) |
| 4. Reverse bias current | iv. Measured in tens of volts (e.g., 0 to โ10 V) |
Forward bias voltage is usually small and measured in volts. Forward bias current is comparatively large and measured in milliamperes. Reverse bias voltage is often applied in a wider voltage range. Reverse current is very small and measured in microamperes.
In a pโn junction diode, the forward bias voltage required for conduction is typically less than 1 V, so it is measured in volts. Hence, Forward bias applied voltage โ ii. The resulting forward current is relatively large and lies in the milliampere range, giving Forward bias current โ iii. Under reverse bias, a larger voltage is generally applied across the diode, often extending to several volts or tens of volts. Therefore, Reverse bias applied voltage โ iv. The reverse current remains extremely small and is measured in microamperes, giving Reverse bias current โ i. Thus, the correct matching is: aโii, bโiii, cโiv, dโi
- Option B โ aโiii, bโii, cโi, dโiv
- Voltage and current units are interchanged in both forward and reverse bias conditions.
- Option C โ aโiv, bโi, cโii, dโiii
- Forward bias quantities are incorrectly assigned reverse-bias measurement ranges.
- Option D โ aโi, bโiv, cโiii, dโii
- None of the voltage-current pairings correspond to actual diode characteristics.
Used
- Quantity-and-Unit Matching
Application:
- Recall the typical magnitude of diode voltages and currents:
- Forward voltage โ Volts
- Forward current โ mA
- Reverse voltage โ Tens of volts
- Reverse current โ ฮผA
Final Logic:
- Match each diode parameter with its commonly used measurement unit and range.
Reverse bias โ Larger voltage, tiny current
5 When the applied forward voltage crosses the threshold voltage:
Threshold voltage marks rapid increase in current.
Once the cut-in voltage is reached, a small increase in forward voltage causes a large increase in current.
- A: Depletion width decreases.
- C: Barrier height decreases.
- D: Reverse breakdown is unrelated.
Used
- Forward-Bias Analysis
Final Logic:
- Current rises exponentially beyond threshold voltage.
"Cross Threshold โ Current Shoots Up."
6 The typical cut-in voltage for a silicon diode is roughly:
Silicon diode cut-in voltage โ 0.7 V.
\(V_{cut-in}\approx 0.7V\) for a silicon diode.
- A: Corresponds approximately to germanium diode.
- B, C: Too large.
Used
- Fact Recall
Final Logic:
- Silicon diode cut-in voltage is approximately 0.7 V.
"Si = 0.7 V, Ge = 0.2 V."
7 The reverse saturation current of a diode is:
Reverse saturation current is caused by minority carriers.
Minority carriers swept across the junction by the electric field produce the reverse saturation current.
- A: Nearly independent of reverse voltage before breakdown.
- C: Not caused by majority carriers.
- D: Usually in ฮผA range.
Used
- Current Mechanism Analysis
Final Logic:
- Minority carrier concentration limits reverse current.
"Reverse Current = Minority Carrier Current."
8 If the reverse current is not limited by an external circuit and exceeds the rated value at the breakdown voltage, the p-n junction will be:
Excessive breakdown current generates heat.
If current is not limited, excessive power dissipation causes overheating and permanent damage to the junction.
- They do not represent the actual consequence of excessive breakdown current.
Used
- Breakdown Analysis
Final Logic:
- Uncontrolled breakdown can destroy the diode.
"Breakdown Without Limiting = Damage."
9 Dynamic resistance expressions
1. It is the inverse of the slope of the V-I characteristic curve.
2. It is constant across all voltages in a p-n junction.
3. It is lower in forward bias than in reverse bias.
4. It is defined as the ratio of a small change in voltage to a small change in current.
Dynamic resistance is not constant. It equals ฮV/ฮI.
\(r_{d}=\frac{\Delta V}{\Delta I}\) It is the inverse of the slope of the I-V curve and is much lower in forward bias.
- B: Dynamic resistance changes with operating point.
Used
- Formula Analysis
Final Logic:
- A, C, and D are correct.
"Dynamic Resistance Changes with Bias."
10 The dynamic resistance calculated at a reverse bias voltage of V = โ10 V (where I = โ1 ฮผA) is:
Reverse bias dynamic resistance is extremely high.
From the reverse V-I characteristic discussed in NCERT Example 14.4, the calculated dynamic resistance is: \(r_{d}=1.0\times {10}^{7}\Omega\) showing the very high resistance offered in reverse bias.
- They are much smaller than the experimentally determined reverse dynamic resistance.
Used
- NCERT Example Recall
Final Logic:
- Reverse dynamic resistance โ \({10}^{7}\Omega\).
"Reverse Bias โ Very High Resistance."
11 Incorrect statement about unidirectional flow
The diode's unidirectional property enables rectification. It does not prevent rectification.
A p-n junction diode offers low resistance in forward bias and high resistance in reverse bias. This behavior is precisely what makes AC-to-DC conversion possible.
- A: Correct statement.
- B: Correct statement.
- D: Correct statement.
Used
- Conceptual Elimination
Final Logic:
- Rectification occurs because of unidirectional conduction.
"One-Way Conduction = Rectification."
12 Correct statements about AC transformation using diodes
1. The process is known as rectification.
2. It utilizes the unidirectional conducting property of a p-n junction.
3. The secondary of a transformer supplies the desired AC voltage.
4. The output of a basic rectifier circuit is a pure, ripple-free DC voltage without filters.
Rectification converts AC into DC. Transformer secondary provides AC input. Filters are required for ripple reduction.
Statements A, B, and C correctly describe rectification. A basic rectifier produces pulsating DC, not pure DC.
- D: Incorrect because filters are needed to obtain smoother DC.
Used
- Concept Identification
Final Logic:
- Only A, B, and C are correct.
"Rectifier Converts, Filter Smooths."
13 Match List I (Circuit Event) with List II (Component/Voltage State) for a half-wave rectifier
| List I | List II |
|---|---|
| 1. Terminal A is positive | i. During negative half-cycle |
| 2. Terminal A is negative | ii. Diode conducts |
| 3. Output voltage appears | iii. Diode does not conduct |
| 4. Diode is reverse-biased | iv. During positive half-cycle |
A positive terminal A forward-biases the diode. A negative terminal A corresponds to the negative half-cycle. Output appears during the conducting half-cycle. A reverse-biased diode blocks current.
When Terminal A is positive, the diode becomes forward-biased and conducts current. Therefore, a โ ii (Diode conducts). When Terminal A is negative, it corresponds to the negative half-cycle, giving b โ i. In a half-wave rectifier, output voltage appears only during the positive half-cycle when the diode conducts, so c โ iv. A reverse-biased diode prevents current flow and therefore does not conduct, giving d โ iii. Thus, the correct matching is: aโii, bโi, cโiv, dโiii
- Option B โ aโiii, bโii, cโi, dโiv
- A positive terminal does not make the diode non-conducting, and output does not appear during the negative half-cycle.
- Option C โ aโiv, bโiii, cโii, dโi
- Terminal polarity is incorrectly associated with half-cycles and conduction states.
- Option D โ aโi, bโiv, cโiii, dโii
- Reverse-biased diodes do not conduct, making this matching incorrect.
Used
- Half-Wave Rectifier Logic
Application:
- Determine diode behavior during positive and negative half-cycles.
Final Logic:
- Positive terminal โ Diode conducts
- Negative terminal โ Negative half-cycle
- Output voltage โ Positive half-cycle
- Reverse bias โ No conduction
Output โ Positive Half-Cycle
14 The rectified output of a half-wave rectifier contains voltage restricted to one direction, and it mathematically represents:
Only one half-cycle is utilized.
A half-wave rectifier passes only one half of the AC input waveform while blocking the other half.
- A: Both halves occur only in full-wave rectification.
- C: Frequency doubling occurs in full-wave rectification.
- D: Output is pulsating DC.
Used
- Waveform Analysis
Final Logic:
- Half-wave rectifier outputs half of the AC waveform.
"Half-Wave = Half the Wave."
15 In a full-wave rectifier, because the centre-tap provides the reference ground, the voltage rectified by each diode at any instant is:
Each diode uses one half of the secondary winding.
The centre tap divides the secondary winding into two equal halves. Each diode rectifies the voltage across one half of the winding.
- A, B: Overestimate the voltage.
- C: Voltage is not zero.
Used
- Transformer Analysis
Final Logic:
- Each diode receives half of the secondary voltage.
"Centre Tap Splits the Secondary."
16 In a full-wave rectifier, during the positive half cycle, Diode D1 is ________ and during the negative half cycle, Diode D2 is ________.
D1 conducts during positive half-cycle. D2 conducts during negative half-cycle.
Each diode becomes forward biased during its respective half-cycle, ensuring current through the load remains in the same direction.
- They do not match actual full-wave rectifier operation.
Used
- Diode Conduction Analysis
Final Logic:
- Both diodes conduct alternately in forward bias.
"Positive โ D1 ON, Negative โ D2 ON."
17 If no external load is connected to a full-wave rectifier equipped with a capacitor input filter:
Without a load, there is no discharge path.
The capacitor charges to the peak output voltage and remains charged because no load is available to discharge it.
- A: No discharge path exists.
- C: Capacitor polarity does not reverse.
- D: Capacitor does not short-circuit the circuit.
Used
- Filter Analysis
Final Logic:
- No load means no significant discharge.
"No Load = Charge Held."
18 Inductor series statements
1. An inductor can be used in series with the load.
2. It serves as a filter.
3. It helps to filter out the AC ripple.
4. It increases the pulsating nature of the output voltage.
Inductors oppose current fluctuations. They reduce ripple.
An inductor placed in series with the load acts as a filter and smooths current variations, thereby reducing ripple.
- D statement: Ripple is reduced, not increased.
Used
- Filter Function Analysis
Final Logic:
- A, B, and C are correct.
"Inductor Smooths Current."
19 Incorrect statement about time constants
The time constant is: \(\tau =R_{L}C\)
A larger capacitance increases the time constant, resulting in slower discharge and reduced ripple.
- A, B, D: Correct statements.
Used
- Formula Application
Final Logic:
- Large capacitance โ large time constant.
"Big C = Big Time Constant."
20 Ripple removal concepts
1. The rate of fall of voltage across the discharging capacitor dictates the ripple size.
2. A larger capacitance effectively minimizes ripple.
3. The output voltage is perfectly constant DC regardless of load resistance.
4. The charging and discharging cycles of the capacitor form the remaining ripple.
Ripple depends on capacitor charging and discharging. Larger capacitance reduces ripple.
Ripple is produced due to the periodic charging and discharging of the capacitor through the load. Increasing capacitance increases the time constant and decreases ripple.
- C: Output is never perfectly constant DC in practical rectifier circuits.
Used
- Filter Performance Analysis
Final Logic:
- A, B, and D are correct.
"Large Capacitor โ Small Ripple."
